In recent years, significant progress has been made in the Hamiltonian formulation of QCD quantized on the light front \(x^+=t+z\) . In particular, basis light-front quantization (BLFQ) provides a computational framework for solving light-front QCD (LFQCD) as relativistic quantum many-body theory [1]}. The renormalization group procedure for effective particles (RGPEP) implements the Wilsonian view of QCD and provides a renormalized effective Hamiltonian that founded on first principles [2]}. An immediate implication of RGPEP is the light-front Schrödinger equation,
\(\Big [ \frac{\vec{k}_\perp ^2+m^2_q}{x} + \frac{\vec{k}_\perp ^2+m^2_{\bar{q}}}{1-x} + V_\mathrm {eff} \Big ] \psi _h (x, \vec{k}_\perp ) \\= M^2_h \psi _h (x, \vec{k}_\perp ).\) 
